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38738857188864 = 293715217236771
BaseRepresentation
bin10001100111011100101111…
…10100100101111000000000
312002011101202120020021102110
420303232113310211320000
520034144134420020424
6214220215121015320
711105534665033050
oct1063562764457000
9162141676207373
1038738857188864
1111386069a66008
124417a24a84540
13188009b862991
1497cd83817560
15472a472dcc29
hex233b97d25e00

38738857188864 has 160 divisors (see below), whose sum is σ = 117954233945856. Its totient is φ = 11067470807040.

The previous prime is 38738857188821. The next prime is 38738857188887. The reversal of 38738857188864 is 46888175883783.

It is a super-2 number, since 2×387388571888642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163494799 + ... + 163731569.

Almost surely, 238738857188864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38738857188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58977116972928).

38738857188864 is an abundant number, since it is smaller than the sum of its proper divisors (79215376756992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38738857188864 is a wasteful number, since it uses less digits than its factorization.

38738857188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252016 (or 252000 counting only the distinct ones).

The product of its digits is 13872660480, while the sum is 84.

The spelling of 38738857188864 in words is "thirty-eight trillion, seven hundred thirty-eight billion, eight hundred fifty-seven million, one hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 15217 30434 45651 60868 91302 106519 121736 182604 213038 236771 243472 319557 365208 426076 473542 486944 639114 710313 730416 852152 947084 973888 1278228 1420626 1460832 1657397 1704304 1894168 1947776 2556456 2841252 2921664 3314794 3408608 3788336 3895552 4972191 5112912 5682504 5843328 6629588 6817216 7576672 7791104 9944382 10225824 11365008 11686656 13259176 13634432 15153344 19888764 20451648 22730016 23373312 26518352 27268864 30306688 39777528 40903296 45460032 53036704 54537728 60613376 79555056 81806592 90920064 106073408 121226752 159110112 163613184 181840128 212146816 318220224 363680256 424293632 636440448 848587264 1272880896 2545761792 3602944307 7205888614 10808832921 14411777228 21617665842 25220610149 28823554456 43235331684 50441220298 57647108912 75661830447 86470663368 100882440596 115294217824 151323660894 172941326736 201764881192 230588435648 302647321788 345882653472 403529762384 461176871296 605294643576 691765306944 807059524768 922353742592 1210589287152 1383530613888 1614119049536 1844707485184 2421178574304 2767061227776 3228238099072 4842357148608 5534122455552 6456476198144 9684714297216 12912952396288 19369428594432 38738857188864